You seem to have identified the problem correctly. Dogs specially big dogs need proper exercise and they also need themselves to be kept busy going something, specially working breeds. Destroying things is out of boredom and yes you would need to give him proper exercise everyday. What kind of a place do you live an apartment or a house.
This is why I tell everyone to research a breed properly before getting it, please dnt take it in the wrong way as earlier also people seem to get offended by the truth. However there is a solution to every problem.
What you can also do is neuter him. I have seen a lot of difference after a dog is neutered.
As for the second problem, once again you have hit the hammer on the nail. It is jealous behaviour. Firstly do your basic obedience properly with him and he must know commands such as sit, come, down, heel, and most important No.
Try to be around with your husband and child and put the dog on a leash and who ever is close to him should pet him etc whle the other can play around with your daughter at a slight distance. Make him sit down and when ever he jumps up, say a firm no and put him back on the same sit down command. If he does not do anything after that praise him and may be give him a treat. The same process can be done now with your husband with him and you playing with you daughter.
At first may be just sitting on the sofa with your daughter and reading a book or something and slowly increasing it to kissing her or hugging her. If he jump pull the leash strongly and a firm NO.
There are various ways and one has to see what works the best, but always remember it takes time and patience and short training sessions. Your daughter also must do obedience training with your dog with you. I always advise the entire family to give orders etc otherwise the dog can get used to listening to only one person. She can do basic things like sit, come etc with one of you holding a loose leash. And when he listens your daughter can give a treat. Another option can be ignoring him when he misbehaves as he might be doing so to get your attention also.
Without actually seeing the dog and how he responds to what training methods, it is very difficult for me to say anything, but give it a try. If you live in an apartment or even in a house and have a guard at the gate, then perhaps you can give the guard some extra money and he can walk your dog in the morning and evening. Give him a long walk, that way he will have a little less energy. Neutering will also help in reducing the second behaviour problem also.
All the best and let me know how things go.